Fix a few typos on ALM docs. (#413)

* Fix two typos in Manopt.jl

* add new entry to changelog.

Changelog.md

@@ -5,6 +5,12 @@ All notable Changes to the Julia package `Manopt.jl` will be documented in this
 The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/),
 and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).
 
+## [0.5.2] – unreleased
+
+### Changed
+
+* fix a few typos in the docstrings.
+
 ## [0.5.1] – September 4, 2024
 
 ### Changed

src/documentation_glossary.jl

@@ -216,14 +216,17 @@ define!(
  end,
 )
 
+#
+#
+# Problems
 define!(
  :Problem,
  :Constrained,
  (; M="M", p="p") -> """
  ```math
 \\begin{aligned}
 \\min_{$p ∈ $(_tex(:Cal, M))} & f($p)\\\\
-$(_tex(:text, "subject to")) &g_i($p) ≤ 0 \\quad $(_tex(:text, " for ")) i= 1, …, m,\\\\
+$(_tex(:text, "subject to"))$(_tex(:quad))&g_i($p) ≤ 0 \\quad $(_tex(:text, " for ")) i= 1, …, m,\\\\
 \\quad & h_j($p)=0 \\quad $(_tex(:text, " for ")) j=1,…,n,
 \\end{aligned}
 ```
@@ -299,8 +302,11 @@ define!(
  return "* `$(display)$(type ? "::$(length(t) > 0 ? t : _var(s, :type))" : "")=`$(length(default) > 0 ? default : _var(s, :default; kwargs...))$(description ? ": $(_var(s, :description; kwargs...))" : "")$(disp_add)"
  end,
 )
+
+#
+#
 #
-# Actual variables
+# variables / Names used in Arguments, Fields, and Keywords
 
 define!(
  :Variable,

src/solvers/augmented_Lagrangian_method.jl

@@ -231,9 +231,9 @@ This method can work in-place of `p`.
 
 The aim of the ALM is to find the solution of the constrained optimisation task
 
-$_problem(:Constrained)
+$(_problem(:Constrained))
 
-where `M` is a Riemannian manifold, and ``f``, ``$(_math(:Sequence, "g", "i", "1", "n"))`` and ``$(_math(:Sequence, "h", "j", "1", "m"))
+where `M` is a Riemannian manifold, and ``f``, ``$(_math(:Sequence, "g", "i", "1", "n"))`` and ``$(_math(:Sequence, "h", "j", "1", "m"))``
 are twice continuously differentiable functions from `M` to ℝ.
 In every step ``k`` of the algorithm, the [`AugmentedLagrangianCost`](@ref)
  ``$(_doc_AL_Cost("k"))`` is minimized on $(_tex(:Cal, "M")),